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Simplifying 2k + 6 = 3k + -5 Reorder the terms: 6 + 2k = 3k + -5 Reorder the terms: 6 + 2k = -5 + 3k Solving 6 + 2k = -5 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 6 + 2k + -3k = -5 + 3k + -3k Combine like terms: 2k + -3k = -1k 6 + -1k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 6 + -1k = -5 + 0 6 + -1k = -5 Add '-6' to each side of the equation. 6 + -6 + -1k = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = -5 + -6 -1k = -5 + -6 Combine like terms: -5 + -6 = -11 -1k = -11 Divide each side by '-1'. k = 11 Simplifying k = 11
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